Nonlinear dynamic in an ecological system with impulsive effect and optimal foraging
type: Item
instance of: scholarly article
title: Nonlinear dynamic in an ecological system with impulsive effect and optimal foraging
zbMATH Open document ID: 1406.92545
DOI: 10.1155/2014/169609
author: Min Zhao
author: Chuanjun Dai
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The population dynamics of a three-species ecological system with impulsive effect are investigated. Using the theories of impulsive equations and small-amplitude perturbation scales, the conditions for the system to be permanent when the number of predators released is less than some critical value can be obtained. Furthermore, because the predator in the system follows the predictions of optimal foraging theory, it follows that optimal foraging promotes species coexistence. In particular, the less beneficial prey can support the predator alone when the more beneficial prey goes extinct. Moreover, the influences of the impulsive effect and optimal foraging on inherent oscillations are studied using simulation, which reveals rich dynamic behaviors such as period-halving bifurcations, a chaotic band, a periodic window, and chaotic crises. In addition, the largest Lyapunov exponent and the power spectra of the strange attractor, which can help analyze the chaotic dynamic behavior of the model, are investigated. This information will be useful for studying the dynamic complexity of ecosystems.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7021854
zbMATH Keywords: ecological system dynamics
zbMATH Keywords: impulsive effect
zbMATH Keywords: optimal foraging
zbMATH Keywords: population dynamics
Wikidata QID: Q59035694
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/169609
OpenAlex ID: W1973084490
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description: scientific article; zbMATH DE number 7021854